Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems
Probability
2020-10-19 v3 Analysis of PDEs
Functional Analysis
Abstract
We consider an interacting particle system modeled as a system of stochastic differential equations driven by Brownian motions. We prove that the (mollified) empirical process converges, uniformly in time and space variables, to the solution of the two-dimensional Navier-Stokes equation written in vorticity form. The proofs follow a semigroup approach.
Keywords
Cite
@article{arxiv.2004.00458,
title = {Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems},
author = {Franco Flandoli and Christian Olivera and Marielle Simon},
journal= {arXiv preprint arXiv:2004.00458},
year = {2020}
}